Inductive/ Deductive reasoning
What is the definition of deductive reasoning?
Deductive reasoning is characterized by applying general principles to specific examples.
Arithmetic or Geometric or neither?
6, 16, 24, 32, 40,
arithmetic 48
Use the commutative law of addition to write an equivalent expression
3x+4
4+3x
There is an equal number of males and females in a class if three females leave then there are double the amount of males in the classroom than females. What is the total original amount of students?
12 students total
How many sides does a circle have?
Two! The inside and the Outside!
What is the definition of Inductive Reasoning?
Is characterized by drawing a general conclusion from repeated observations of specific examples.
Arithmetic or Geometric or Neither?
5, 15, 45, 135, 405, ...
Geometric 1215
Use the Associative las of addition to write an equivalent expression
a+(2b+c)
(a+2b)+c
6 gallons
If twos company and threes a crowd, what are four and five?
9
Is this inductive or deductive reasoning?
My dog barked at 1:02 am and then 2:03 am and again at 3:04 am so he will bark again at 4:05 am
Inductive reasoning
Use the method of successive differences to determine the next number in the sequence.
3, 14, 31, 54, 83, 118, ...
159
Use the Commutative law of multiplication to write an equivalent expression
6d
d6
Only one of these is a perfect square which one is it?
a) 329,476
b)389,372
c)964,328
d) 326,047
a) 329,476
X is an odd number. When a letter is taken away from X it becomes even. What number is X?
Seven. Even
Is this inductive or deductive reasoning?
If you take your medicine you will feel better. You take your medicine, therefore you will feel a lot better.
Deductive Reasoning
Arithmetic or Geometric or Neither?
256, 128, 64, 32, 16, ...
Geometric 8
Use the associative law of multiplication to write an equivalent expression
(16*x)*(2n)
16*(x*2n)
A frog is at the bottom of a 20 foot well. Each day it crawls up 4 feet and each night it slips back 3 feet. How many days will it take the frog to reach t top of the well?
17 days
If seven people meet each other and each shakes hands only once with each of the others, how many handshakes will there have been?
21
Inductive or Deductive
It is a fact that every student that ever attended Southern University was accepted into graduate school. Because I am attending Southern University I can expect to be accepted into graduate school too.
Inductive reasoning
Arithmetic or Geometric or Neither?
2, 8, 18, 32, 50, ...
Neither
Use the distribution law to fafctor the following
54m + 27n+9
9(6m+3n+1)
Becky's mother has three daughters. She named her first daughter Penny and her second daughter Nichole. What did she name her third daughter?
Becky
What can you put between a 7 and an 8 so that the result is greater than a seven, but less than an eight?
A decimal because 7.8 is greater than 7, but less than 8.